# Math

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Question 1

Write the first four terms of the sequence whose general term is given.

an = 3n - 1

2, 3, 4, 5

2, 5, 8, 11

-2, -5, -8, -11

4, 7, 10, 13

3 points
Question 2

Write the first four terms of the sequence whose general term is given.

an = 2(2n - 3)

-6, -2, 2, 6

-1, 1, 3, 5

-2, -4, -6, -8

-2, 2, 6, 10

3 points
Question 3

Write the first four terms of the sequence whose general term is given.

an = 4n

1, 16, 81, 256

4, 16, 64, 256

1, 4, 16, 64

16, 64, 256, 1024

3 points
Question 4

Write the first four terms of the sequence whose general term is given.

an = (2/3)n

1, , ,

, , ,

1, , ,

, , ,

3 points
Question 5

Write the first four terms of the sequence whose general term is given.

an = (-1)n(n + 5)

6, 7, 8, 9

-6, -14, -24, -36

-6, 7, -8, 9

-6, -7, -8, -9

3 points
Question 6

Write the first four terms of the sequence whose general term is given.

an = (-1)n + 1(n + 6)

-7, 8, -9, 10

-8, 9, -10, 11

7, -8, 9, -10

7, -16, 27, -40

3 points
Question 7

Write the first four terms of the sequence whose general term is given.

an =

4, , , 1

-4, , , 1

4, - , , 1

-4, - , , 1

3 points
Question 8

Write the first four terms of the sequence defined by the recursion formula.

a1 = -5 and an = an-1 - 3 for n ≥ 2

-5, - 4, - 1, 2

5, 2, -1, -4

-5, -8, -11, -14

5, 8, 11, 14

3 points
Question 9

Write the first four terms of the sequence defined by the recursion formula.

a1 = -6 and an = -2an-1 for n ≥ 2

6, -12, 24, -48

-6, 14, -26, 50

-6, -12, -24, -48

-6, 12, -24, 48

3 points
Question 10

Write the first four terms of the sequence defined by the recursion formula.

a1 = 4 and an = 3an-1 + 2 for n ≥ 2

4, 14, 44, 134

4, 10, 28, 82

4, 12, 36, 108

4, 14, 38, 110

3 points
Question 11

Find the indicated sum.

46

60

14

24

3 points
Question 12

Find the indicated sum.

3 points
Question 13

Find the indicated sum.

39

30

84

120

3 points
Question 14

Find the indicated sum.

45

110

74

120

3 points
Question 15

Use the formula for the general term (the nth term) of an arithmetic sequence to find the indicated term of the sequence with the given first term, a1, and common difference, d.

Find a8 when a1 = -10, d = -3.

-31

11

-34

14

3 points
Question 16

Use the formula for the general term (the nth term) of an arithmetic sequence to find the indicated term of the sequence with the given first term, a1, and common difference, d.

Find a21 when a1 = 28, d = -5.

-77

128

-100

-72

3 points
Question 17

Write a formula for the general term (the nth term) of the arithmetic sequence. Then use the formula for an to find a20, the 20th term of the sequence.

1, 4, 7, 10, 13, . . .

an = 3n + 2; a20 = 62

an = n + 3; a20 = 23

an = 3n - 2; a20 = 58

an = 2n - 3; a20 = 37

3 points
Question 18

Write a formula for the general term (the nth term) of the arithmetic sequence. Then use the formula for an to find a20, the 20th term of the sequence.

25, 16 , 7, -2, . . .

an = -9n + 25; a20 = -155

an = -9n + 34; a20 = -146

an = 9n - 25; a20 = 155

an = 9n - 34; a20 = 146

3 points
Question 19

Solve the problem.

The population of a town is increasing by 200 inhabitants each year. If its population at the beginning of 1990 was 27,842, what was its population at the beginning of 1998?

222,680 inhabitants

29,442 inhabitants

29,242 inhabitants

445,360 inhabitants

3 points
Question 20

Find the indicated sum.

Find the sum of the first 50 terms of the arithmetic sequence: 3, -4, -11, -18, . . .

-8600

-8425

-347

-8420

3 points
Question 21

Find the indicated sum.

Find the sum of the first 48 terms of the arithmetic sequence: 2, 4, 6, 8, . . .

98

2359

2400

2352

3 points
Question 22

Write out the first three terms and the last term of the arithmetic sequence.

-5 - 1 + 7 - . . . + 85

1 + 31 + 103 + . . . + 535

-5 + 1 + 7 + . . . + 85

1 + 7 + 13 + . . . + 85

3 points
Question 23

Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum.

-1522.5

-1421

-1595

-1537

3 points
Question 24

Solve the problem.

A theater has 32 rows with 20 seats in the first row, 25 in the second row, 30 in the third row, and so forth. How many seats are in the theater?

6400 seats

6240 seats

3120 seats

3200 seats

3 points
Question 25

If the given sequence is a geometric sequence, find the common ratio.

4, 16, 64, 256, 1024

4

16

not a geometric sequence

3 points
Question 26

If the given sequence is a geometric sequence, find the common ratio.

, , , ,

20

4

3 points
Question 27

Write the first five terms of the geometric sequence.

a1 = 7; r =

, , , ,

7, , , ,

7, , , , 8

7, 28, 112, 448, 1792

3 points
Question 28

Write the first five terms of the geometric sequence.

an = 5an-1; a1 = 3

15, 75, 375, 1875, 9375

3, 8, 13, 18, 23

5, 15, 75, 375, 1875

3, 15, 75, 375, 1875

3 points
Question 29

Use the formula for the sum of the first n terms of a geometric sequence to solve.

Find the sum of the first six terms of the geometric sequence: 3, 15, 75, . . . .

11718

93

3906

910

3 points
Question 30

Use the formula for the sum of the first n terms of a geometric sequence to solve.

Find the sum of the first 11 terms of the geometric sequence: -3, -6, -12, -24, -48, . . . .

-6161

-6139

-6141

-6104

3 points
Question 31

Use the formula for the sum of the first n terms of a geometric sequence to solve.

Find the sum of the first five terms of the geometric sequence: , , , . . . .

3 points
Question 32

Find the indicated sum. Use the formula for the sum of the first n terms of a geometric sequence.

-2460

-156

244

-7710

3 points
Question 33

Solve the problem.

A job pays a salary of 29,000 the first year. During the next 6 years, the salary increases by 6% each year. What is the salary for the 7th year? What is the total salary over the 7-year period? (Round to the nearest cent.)

\$43,605.28; \$287,026.57

\$41,137.05; \$243,421.29

\$41,137.05; \$202,284.24

\$43,605.28; \$202,300.9

4 points
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